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Volumn 19, Issue 5, 1973, Pages 600-608

A Representation Theorem and its Applications to Spherically-Invariant Random Processes

Author keywords

[No Author keywords available]

Indexed keywords

INFORMATION THEORY - FILTERING AND PREDICTION THEORY; INFORMATION THEORY - SIGNAL DETECTION; NOISE, SPURIOUS SIGNAL;

EID: 0015662367     PISSN: 00189448     EISSN: 15579654     Source Type: Journal    
DOI: 10.1109/TIT.1973.1055076     Document Type: Article
Times cited : (292)

References (27)
  • 1
    • 0006060084 scopus 로고
    • Some characteristic properties of Gaussian stochastic processes
    • A. M. Vershik, “Some characteristic properties of Gaussian stochastic processes,” Theory Prob. Appl. (USSR), vol. 9, pp. 353–356, 1964.
    • (1964) Theory Prob. Appl , vol.9 , pp. 353-356
    • Vershik, A.M.1
  • 2
    • 0002801749 scopus 로고
    • On a class of processes arising in linear estimation theory
    • Jan.
    • I. F. Blake and J. B. Thomas, “On a class of processes arising in linear estimation theory,” IEEE Trans. Inform. Theory, vol. IT-14, pp. 12–16, Jan. 1968.
    • (1968) IEEE Trans. Inform. Theory , vol.IT-14 , pp. 12-16
    • Blake, I.F.1    Thomas, J.B.2
  • 3
    • 0014707064 scopus 로고
    • Spherically-invariant and compound Gaussian stochastic processes
    • Jan. (Corresp.)
    • B. Picinbono, “Spherically-invariant and compound Gaussian stochastic processes,” IEEE Trans. Inform. Theory (Corresp.), vol. IT-16, pp. 77–79, Jan. 1970.
    • (1970) IEEE Trans. Inform. Theory , vol.IT-16 , pp. 77-79
    • Picinbono, B.1
  • 6
    • 0001743201 scopus 로고
    • Metric spaces and completely monotone functions
    • I. J. Schoenberg, “Metric spaces and completely monotone functions,” Ann. Math., vol. 39, pp. 811–841, 1938.
    • (1938) Ann. Math. , vol.39 , pp. 811-841
    • Schoenberg, I.J.1
  • 9
    • 0004207439 scopus 로고
    • New York: Van Nostrand Reinhold
    • P. R. Halmos, Measure Theory. New York: Van Nostrand Reinhold, 1950.
    • (1950) Measure Theory
    • Halmos, P.R.1
  • 10
    • 0004147916 scopus 로고
    • Reading, Mass.: Addison-Wesley, Wesley
    • T. Apostel, Mathematical Analysis. Reading, Mass.: Addison-Wesley, Wesley, 1957.
    • (1957) Mathematical Analysis
    • Apostel, T.1
  • 13
    • 84937742011 scopus 로고
    • Elliptically symmetric distributions
    • Jan.
    • D. K. McGraw and J. F. Wagner, “Elliptically symmetric distributions,” IEEE Trans. Inform. Theory, vol. IT-14, pp. 110–120, Jan. 1968.
    • (1968) F. , vol.IT-14 , pp. 110-120
    • McGraw, D.K.1    Wagner, J.F.2
  • 14
    • 0012186871 scopus 로고
    • The hyperplane in pattern recognition
    • Brussels
    • P. W. Cooper, “The hyperplane in pattern recognition,” Cybernetica netica (Brussels), vol. 5, pp. 215–238, 1962.
    • (1962) Cybernetica netica , vol.5 , pp. 215-238
    • Cooper, P.W.1
  • 15
    • 33745296220 scopus 로고
    • The hypersphere in pattern recognition
    • Dec.
    • P. W. Cooper, “The hypersphere in pattern recognition,” Inform. Contr., vol. 5, pp. 324–346, Dec. 1962.
    • (1962) Inform. Contr , vol.5 , pp. 324-346
    • Cooper, P.W.1
  • 17
    • 0014881428 scopus 로고
    • Detection d'un signal certain dan un bruit non stationaire et non Gaussien
    • B. Picinbono and G. Vezzosi, “Detection d'un signal certain dan un bruit non stationaire et non Gaussien,” Ann. Telecommun., vol. 25, pp. 433–439, 1970.
    • (1970) Ann. Telecommun. , vol.25 , pp. 433-439
    • Picinbono, B.1    Vezzosi, G.2
  • 20
    • 0014779869 scopus 로고
    • Stochastic estimation of a mixture of normal density functions using an information criterion
    • May
    • T. Y. Young and G. Coraluppi, “Stochastic estimation of a mixture of normal density functions using an information criterion,” IEEE Trans. Inform. Theory, vol. IT-16, pp. 258–263, May 1970.
    • (1970) IEEE Trans. Inform. Theory , vol.IT-16 , pp. 258-263
    • Young, T.Y.1    Coraluppi, G.2
  • 23
    • 84939369208 scopus 로고
    • On the spherical approach to the normal distribution law
    • P. Hartman and A. Wintner, “On the spherical approach to the normal distribution law,” Amer. J. Math., vol. 62, pp. 95–110, 1972.
    • (1972) Amer. J. Math. , vol.62 , pp. 95-110
    • Hartman, P.1    Wintner, A.2
  • 24
    • 0345301529 scopus 로고
    • Detection du'n signal certain dans un bruit spheriquement invariant, structure et caracteriques des receptions
    • G. Vezzosi and B. Picinbono, “Detection du'n signal certain dans un bruit spheriquement invariant, structure et caracteriques des receptions,” Ann. Tekcommun., vol. 27, pp. 95–110, 1972.
    • (1972) Ann. Tekcommun. , vol.27 , pp. 95-110
    • Vezzosi, G.1    Picinbono, B.2
  • 25
    • 0015315972 scopus 로고
    • Moments of the sum of circularly symmetric random variables
    • Mar. (Corresp.)
    • J. Goldman, “Moments of the sum of circularly symmetric random variables,” IEEE Trans. Inform. Theory (Corresp.), vol. IT-18, pp. 297–298, Mar. 1972.
    • (1972) IEEE Trans. Inform. Theory , vol.IT-18 , pp. 297-298
    • Goldman, J.1
  • 26
    • 0037868441 scopus 로고
    • On random sequences with spherical symmetry
    • J. F. C. Kingman, “On random sequences with spherical symmetry,” Biometrika, vol. 59, pp. 492–494, 1972.
    • (1972) Biometrika , vol.59 , pp. 492-494
    • Kingman, J.F.C.1
  • 27
    • 0001248728 scopus 로고
    • Distribution theory of spherical distributions and a location-scale parameter generalization
    • D. Kelker, “Distribution theory of spherical distributions and a location-scale parameter generalization,” Sankhya: Ind. J. Stat., vol. 32, pp. 419–430, 1970.
    • (1970) Sankhya: Ind. J. Stat. , vol.32 , pp. 419-430
    • Kelker, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.